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In vacuum, the world-line formalism is an efficient tool for calculating observables in the presence of arbitrary constant external fields. The natural frame of this formalism is the Euclidean space. At finite temperature the analytic…

High Energy Physics - Phenomenology · Physics 2007-05-23 Haitham Zaraket

The microscopic quantum field theory origins of warm inflation dynamics are reviewed. The warm inflation scenario is first described along with its results, predictions and comparison with the standard cold inflation scenario. The basics of…

High Energy Physics - Phenomenology · Physics 2009-02-25 Arjun Berera , Ian G. Moss , Rudnei O. Ramos

In this paper, the aether field, which leads to the violation of Lorentz symmetries, coupled with the electromagnetic field is considered. In order to study thermal and size effects in this theory, the Thermo Field Dynamics (TFD) formalism…

High Energy Physics - Theory · Physics 2023-06-07 R. Corrêa , L. H. A. R. Ferreira , A. F. Santos , Faqir C. Khanna

The Green's function plays a crucial role when studying the nature of quantum many-body systems, especially strongly-correlated systems. Although the development of quantum computers in the near future may enable us to compute energy…

Quantum Physics · Physics 2020-08-25 Suguru Endo , Iori Kurata , Yuya O. Nakagawa

We discuss Euclidean Green functions on product manifolds P=NxM. We show that if M is compact then the Euclidean field on P can be approximated by its zero mode which is a Euclidean field on N. We estimate the remainder of this…

High Energy Physics - Theory · Physics 2008-11-26 Z. Haba

The issue of electric charges in interaction with partially reflective surfaces is addressed by means of field theoretic methods. It is proposed an enlarged Maxwell lagrangian, describing the electromagnetic field in the presence of a…

High Energy Physics - Theory · Physics 2014-10-02 F. E. Barone , F. A. Barone

A study of zero-dimensional theories, based on exact results, is presented. First, relying on a simple diagrammatic representation of the theory, equations involving the generating function of all connected Green's functions are…

High Energy Physics - Phenomenology · Physics 2009-01-07 E. N. Argyres , A. F. W. van Hameren , R. H. P. Kleiss , C. G. Papadopoulos

We present a scaling theory for the effect of thermal fluctuations on the characteristics of the depinning transition, and also in the closely related directed percolation model. Thermal effects act as a sort of external field that produces…

Statistical Mechanics · Physics 2017-04-07 E. A. Jagla

An effective field theory approach is developed for calculating the thermodynamic properties of a field theory at high temperature $T$ and weak coupling $g$. The effective theory is the 3-dimensional field theory obtained by dimensional…

High Energy Physics - Phenomenology · Physics 2016-09-01 Eric Braaten , Agustin Nieto

This is an introductory chapter on how to calculate nonequilibrium Green's functions via dynamical mean-field theory for the Autumn School on Correlated Electrons: Many-Body Methods for Real Materials, 16-20 September 2019,…

Strongly Correlated Electrons · Physics 2019-07-29 J. K. Freericks

In this talk, I review recent developments in equilibrium thermal field theory. Screened perturbation theory and hard-thermal-loop perturbation theory are discussed. A self-consistent $\Phi$-derivable approach is also briefly reviewed.

High Energy Physics - Phenomenology · Physics 2007-05-23 Jens O. Andersen

The use of classical thermal field to approximate real-time quantum thermal field theory is discussed. For a \lambda\phi^4 theory, it is shown that the classical Rayleigh-Jeans divergence can be canceled with the appropriate counterterms,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gert Aarts

At high temperature the infrared modes of a weakly coupled quantum field theory can be treated nonperturbatively in real time using the classical field approximation. We use this to introduce a nonperturbative approach to the calculation of…

High Energy Physics - Phenomenology · Physics 2009-11-07 Gert Aarts

The lecture provides an introduction to thermal field theory and its applications to the physics of the quark-gluon plasma, possibly created in relativistic heavy ion collisions. In particular the Hard Thermal Loop resummation technique,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Markus H. Thoma

We try to give a comprehensive review of the main methods used in modern multi-loop calculations in finite-temperature field theory. While going through explicit examples, we point out similarities and differences with respect to the…

High Energy Physics - Phenomenology · Physics 2010-12-13 Jan Moeller , York Schroder

There are several ways to establish and study thermal properties of black holes. I review here method of Fulling and Ruijsenaars, based on the analytic structure of Green functions on the complex plane. This method provides a clear…

High Energy Physics - Theory · Physics 2007-05-23 Milan Mijic

We argue that the asymptotic condition should not be applied in the derivation of the real time formalism of thermal field theory. It is shown that, contrary to popular belief, the generating functional of time ordered Green functions does…

High Energy Physics - Phenomenology · Physics 2016-08-24 T. S. Evans , A. C. Pearson

We calculate, to one-loop order, the ln (T) contributions of 3-point functions in the \phi^3 and Yang-Mills theory at high temperature. We find that these terms are Lorentz invariant and have the same structure as the ultraviolet divergent…

High Energy Physics - Theory · Physics 2009-10-30 F. T. Brandt , J. Frenkel

Effective field theory methods provide a convenient approach to study static observables in field theory at finite temperature. In this talk, I will outline the construction of the effective field theory that describes effective observables…

High Energy Physics - Phenomenology · Physics 2007-05-23 Agustin Nieto

A coincise review about Euclidean (Quantum) Field Theory is presented. It deals with the general structural properties, the connections with Quantum Field Theory, the exploitation in Constructive Quantum Field Theory, and the physical…

Mathematical Physics · Physics 2007-05-23 Francesco Guerra